13edt

The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the Bohlen-Pierce scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as bohpier temperament. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 26edt, 39edt and 52edt come to the fore.

Below is a plot of the no-twos Z-function, in terms of which 13edt is the fourth no-twos zeta peak edt.

Intervals

Steps	Cents	BP nonatonic degree	Corresponding JI intervals	Comments	Generator for...
1	146.3	A1/m2	27/25~49/45
2	292.6	M2/d3	25/21		Sirius
3	438.9	A2/P3/d4	9/7		Linear BP
4	585.2	A3/m4/d5	7/5		Canopus
5	731.5	M4/m5	75/49	False 3/2	false Father
6	877.8	A4/M5	5/3		Arcturus
7	1024.1	A5/m6/d7	9/5		Arcturus
8	1170.4	M6/m7	49/25	False 2/1	false Father
9	1316.7	A6/M7/d8	15/7		Canopus
10	1463.0	P8/d9	7/3		Linear BP
11	1609.3	A8/m9	63/25		Sirius
12	1755.7	M9/d10	25/9~135/49
13	1902.0	A9/P10	3/1	Tritave

See also

• Catalog of 3.5.7 subgroup rank two temperaments